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Finding the Fourth Proportional to 2,503.98, 3,756.02 and 1,471.23

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Solution

The fourth proportional to 2,503.98, 3,756.02 and 1,471.23 is: 2,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.98 : 3,756.02 = 1,471.23 : x
  2. Step 2: Convert to fraction form
    2,503.98/3,756.02 = 1,471.23/x
  3. Step 3: Cross multiply
    2,503.98x = 3,756.02 × 1,471.23
  4. Step 4: Simplify right side
    2,503.98x = 5,525,961.95
  5. Step 5: Solve for x
    x = 5,525,961.95/2,503.98
  6. Step 6: Final answer
    x = 2,206.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.